[SOLVED] R语言代写：Social Network Analysis

Social Network Analysis

1     Introduction

In  this  assignment  you  will  be  asked  to  perform  some  social  network  analysis  on  a dataset that is provided to you.  You will load the dataset provided, manipulate the csv file, perform computations and display/visualize results.

2     Description  of  Dataset

The  network  was  generated  using  email  data  from  a  large  European  research  institu- tion.  We have anonymized information about all incoming and outgoing email between members  of  the  research  institution.   There  is  an  edge  (u,  v)  in  the  network  if  person u sent person v at least one email.  The e-mails only represent communication between institution  members  (the  core),  and  the  dataset  does  not  contain  incoming  messages from or outgoing messages to the rest of the world.

The  dataset  also  contains  ”ground-truth”  community  memberships  of  the  nodes. Each individual belongs to exactly one of 42 departments at the research institute.

This network represents the ”core” of the email-EuAll network, which also contains links between members of the institution and people outside of the institution (although the node IDs are not the same).

3     Objectives

You will perform the following tasks for this assignments:

1. (10 points) Display up to 2-hop neighbors of the top 10 from (4) and (5).

2. (10 points) Assume that each email sent or received is a connection. Compute the degree  centrality  of  each  person.   Display/visualize  up  to  2-hop  neighbors  of  10 people with the highest centrality.  The degree centrality of a node(person) i, can be  defined  as  the  total  number  of  nodes  connected  to  node  ni.   Also,  color  code nodes according to the department to which they belong.

3. (10 points) Assume that each email sent or received is a connection. Compute the betweenness centrality of each person.  Display/visualize up to 2-hop neighbors of

10 people with the highest betweenness.  Betweenness centrality, CB  for a node i, can be defined as:

where j and k are other nodes.  Also, color code nodes according to the department to which they belong.

4. (10 points)  Display/visualize  2-hop  neighbors  of  nodes  with  the  top  10  indegree centrality.  Color code nodes according to the department.

5. (20 points) Aggregate the emails sent per person, to the department level. After aggregation, you should have a new table that indicates the number of emails sent and  received  between  each  and  every  department.   The  table  should  have  three columns.  Column A, indicates the department from which emails are originating, Column B, indicates the department to which the emails are being sent, and Col- umn C indicates the total number of emails sent from A to B. Display the table, and visualize the directed connections.

4     Grading

Requirements of your shiny app:

• All computation should be performed as part of the R script and displayed in your shiny app.

• You can assume that I have a copy of the two files . Do not send me a copy when you submit your assignment.

• I will  be  modifying  the  input  files  to  reflect  a  different  emailing  scenario.   Your shiny app should still be able to provide results to the questions/tasks.

• Do not  load  your  jpg/png/pdf/csv  or  any  other  type  of  files.   I  just  want  the  R scripts to create your shiny app.  I will not download anything other than R scripts to run on my computer.

• If submitting multiple R scripts, please zip it up and upload zipped file.